| Issue |
RAIRO-Oper. Res.
Volume 50, Number 4-5, October-December 2016
Special issue - Advanced Optimization Approaches and Modern OR-Applications
|
|
|---|---|---|
| Page(s) | 781 - 795 | |
| DOI | https://doi.org/10.1051/ro/2016034 | |
| Published online | 03 November 2016 | |
Some complexity and approximation results for coupled-tasks scheduling problem according to topology
1 LE2I, UMR CNRS 6306, University of Burgundy, 8 Rue Alain
Savary, 21000 Dijon, France.
benoit.darties@u-bourgogne.fr
2 LIRMM, UMR CNRS 5506, Université de Montpellier, 161 rue Ada,
34392 Montpellier cedex 5, France.
3 Insight Centre for Data Analytics, University College Cork,
Cork, Ireland.
Received:
14
May
2015
Accepted:
29
April
2016
We consider the makespan minimization coupled-tasks problem in presence of compatibility constraints with a specified topology. In particular, we focus on stretched coupled-tasks, i.e. coupled-tasks having the same sub-tasks execution time and idle time duration. We study several problems in framework of classic complexity and approximation for which the compatibility graph is bipartite (star, chain, ...). In such a context, we design some efficient polynomial-time approximation algorithms for an intractable scheduling problem according to some parameters.
Mathematics Subject Classification: 90B35 / 68W25 / 68Rxx / 68R10
Key words: Coupled-task scheduling model / complexity / polynomial-time approximation algorithm
© EDP Sciences, ROADEF, SMAI 2016
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